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Finding the Fourth Proportional to 3,203, 4,421.45 and 2,023.84

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Solution

The fourth proportional to 3,203, 4,421.45 and 2,023.84 is: 2,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203 : 4,421.45 = 2,023.84 : x
  2. Step 2: Convert to fraction form
    3,203/4,421.45 = 2,023.84/x
  3. Step 3: Cross multiply
    3,203x = 4,421.45 × 2,023.84
  4. Step 4: Simplify right side
    3,203x = 8,948,307.37
  5. Step 5: Solve for x
    x = 8,948,307.37/3,203
  6. Step 6: Final answer
    x = 2,793.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.